Symmetry with Operator Theory and Equations
A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found...
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| Auteur principal: | |
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| Format: | Online |
| Langue: | anglais |
| Publié: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Sujets: | |
| Accès en ligne: | 42706 |
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| _version_ | 1869525652003094528 |
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| author | Argyros, Ioannis |
| author_browse | Argyros, Ioannis |
| author_facet | Argyros, Ioannis |
| author_sort | Argyros, Ioannis |
| collection | Directory of Open Access Books |
| description | A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures. |
| format | Online |
| id | doab-20.500.12854ir-60388 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-603882023-12-20T18:40:39Z Symmetry with Operator Theory and Equations Argyros, Ioannis QA1-939 Q1-390 Lipschitz condition order of convergence Scalar equations local and semilocal convergence multiple roots Nondifferentiable operator optimal iterative methods Order of convergence convergence order fast algorithms iterative method computational convergence order generalized mixed equilibrium problem nonlinear equations systems of nonlinear equations Chebyshev’s iterative method local convergence iterative methods divided difference Multiple roots semi-local convergence scalar equations left Bregman asymptotically nonexpansive mapping basin of attraction maximal monotone operator Newton–HSS method general means Steffensen’s method derivative-free method simple roots fixed point problem split variational inclusion problem weighted-Newton method ball radius of convergence Traub–Steffensen method Newton’s method fractional derivative Banach space multiple-root solvers uniformly convex and uniformly smooth Banach space Fréchet-derivative optimal convergence Optimal iterative methods basins of attraction nonlinear equation bic Book Industry Communication::P Mathematics & science A plethora of problems from diverse disciplines such as Mathematics, Mathematical: Biology, Chemistry, Economics, Physics, Scientific Computing and also Engineering can be formulated as an equation defined in abstract spaces using Mathematical Modelling. The solutions of these equations can be found in closed form only in special case. That is why researchers and practitioners utilize iterative procedures from which a sequence is being generated approximating the solution under some conditions on the initial data. This type of research is considered most interesting and challenging. This is our motivation for the introduction of this special issue on Iterative Procedures. 2021-02-12T05:04:53Z 2021-02-12T05:04:53Z 2019-12-09 16:10:12 2019 book 42706 9783039216673 9783039216666 https://directory.doabooks.org/handle/20.500.12854/60388 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International https://mdpi.com/books/pdfview/book/1729 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03921-667-3 10.3390/books978-3-03921-667-3 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039216673 9783039216666 208 open access |
| spellingShingle | QA1-939 Q1-390 Lipschitz condition order of convergence Scalar equations local and semilocal convergence multiple roots Nondifferentiable operator optimal iterative methods Order of convergence convergence order fast algorithms iterative method computational convergence order generalized mixed equilibrium problem nonlinear equations systems of nonlinear equations Chebyshev’s iterative method local convergence iterative methods divided difference Multiple roots semi-local convergence scalar equations left Bregman asymptotically nonexpansive mapping basin of attraction maximal monotone operator Newton–HSS method general means Steffensen’s method derivative-free method simple roots fixed point problem split variational inclusion problem weighted-Newton method ball radius of convergence Traub–Steffensen method Newton’s method fractional derivative Banach space multiple-root solvers uniformly convex and uniformly smooth Banach space Fréchet-derivative optimal convergence Optimal iterative methods basins of attraction nonlinear equation bic Book Industry Communication::P Mathematics & science Argyros, Ioannis Symmetry with Operator Theory and Equations |
| title | Symmetry with Operator Theory and Equations |
| title_full | Symmetry with Operator Theory and Equations |
| title_fullStr | Symmetry with Operator Theory and Equations |
| title_full_unstemmed | Symmetry with Operator Theory and Equations |
| title_short | Symmetry with Operator Theory and Equations |
| title_sort | symmetry with operator theory and equations |
| topic | QA1-939 Q1-390 Lipschitz condition order of convergence Scalar equations local and semilocal convergence multiple roots Nondifferentiable operator optimal iterative methods Order of convergence convergence order fast algorithms iterative method computational convergence order generalized mixed equilibrium problem nonlinear equations systems of nonlinear equations Chebyshev’s iterative method local convergence iterative methods divided difference Multiple roots semi-local convergence scalar equations left Bregman asymptotically nonexpansive mapping basin of attraction maximal monotone operator Newton–HSS method general means Steffensen’s method derivative-free method simple roots fixed point problem split variational inclusion problem weighted-Newton method ball radius of convergence Traub–Steffensen method Newton’s method fractional derivative Banach space multiple-root solvers uniformly convex and uniformly smooth Banach space Fréchet-derivative optimal convergence Optimal iterative methods basins of attraction nonlinear equation bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Q1-390 Lipschitz condition order of convergence Scalar equations local and semilocal convergence multiple roots Nondifferentiable operator optimal iterative methods Order of convergence convergence order fast algorithms iterative method computational convergence order generalized mixed equilibrium problem nonlinear equations systems of nonlinear equations Chebyshev’s iterative method local convergence iterative methods divided difference Multiple roots semi-local convergence scalar equations left Bregman asymptotically nonexpansive mapping basin of attraction maximal monotone operator Newton–HSS method general means Steffensen’s method derivative-free method simple roots fixed point problem split variational inclusion problem weighted-Newton method ball radius of convergence Traub–Steffensen method Newton’s method fractional derivative Banach space multiple-root solvers uniformly convex and uniformly smooth Banach space Fréchet-derivative optimal convergence Optimal iterative methods basins of attraction nonlinear equation bic Book Industry Communication::P Mathematics & science |
| url | 42706 |
| work_keys_str_mv | AT argyrosioannis symmetrywithoperatortheoryandequations |